This paper studies an alternative bias correction for the M-estimator, which is obtained by correcting the moment equations in the spirit of Firth (1993). In particular, this paper compares the stochastic expansions of the analytically-bias-corrected estimator and the alternative estimator and...

It is well known that efficient estimation of average treatment effects can be obtained by the method of inverse propensity score weighting, using the estimated propensity score, even when the true one is known. When the true propensity score is unknown but parametric, it is conjectured from the...

With the availability of a rich data set, we will develop a new method of conducting structural analysis of ascending auctions under the simplest valuation paradigm, the symmetric IPV model. The data set allows us to adopt a nonparametric approach and make strong interpretation of observed bids,...